Abstract
In this paper, we discussed the mechanism of periodic modulation phenomenon with energy exchange in a multi-vibro impact system using Grover wave algorithm. We assumed the proportional viscous damping, which acts as perturbation to the state transition matrix of the system. We show that the change of energy transfer velocity depends on the perturbation and state vector. The state vector with perturbation presents clockwise type and anti-clockwise type rotation in regard to its time evolution. We obtained the analytical expression of the periodic modulation mechanism of energy exchange by using perturbed wave algorithm.
